Question

What is the value of the x variable in the solution to the following system of equations?

4x + 2y = 6
x – y = 3

Answer 1

by multiplying equation 2 by 2
2x-2y=6
then add the first equation
with the second
6x=12
then x=2

Answer 2

sustitude x in equation(1)
4(2)+2y=6
y=-1

Answer 3

checking
4(2)+2(-1)=6 u can use any equation to check

Answer 4

Ok. You need to learn how to do these problems. There are two ways: elimination and substitution. I'll only demonstrate one method because it's kind of a pain in the a**. With elimination, you look at the two equations and determine whether you can eliminate one of the terms by switching its sign; e.g:
4x-3y=8
4x-8y=3
In this problem, you can switch one of the "4x's" to "-4x".
It then becomes:
4x-3y=8
-4x-8y=3
Now you can eliminate both of the 4x's from the equations, leaving you with the more simplified system of:
-3y=8
-8y=3
Simplify one of the equations and you have the value of y, then substitute the y-value in one of the equations of the original system, simplify it and you'll have x. This method is called ELIMINATION.